2012
DOI: 10.22237/jmasm/1351743540
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Extreme Value Charts and Analysis of Means (ANOM) Based on the Log Logistic Distribution

Abstract: A probability model of a quality characteristic is assumed to follow a log logistic distribution. This article proposes variable control charts, termed extreme value charts, based on the extreme values of each subgroup. The control chart constants depend on the probability model of the extreme order statistics and the size of each subgroup. The analysis of means (ANOM) technique for a skewed population is applied with respect to log logistic distribution. Results are illustrated using examples based on real da… Show more

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Cited by 2 publications
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“…Using the data values of Aarset (1987) [9] we can get the MLE of  for IRD which in turn will be useful with the help of equations (4), (5) and (6) to get the UCL, CL and LCL of the control chart. However, the parameter "b" of IHLD is estimated by a regression approach as described below.…”
Section: Monitoring Of Time Between Failures With Respect To Ird and Ihldmentioning
confidence: 99%
“…Using the data values of Aarset (1987) [9] we can get the MLE of  for IRD which in turn will be useful with the help of equations (4), (5) and (6) to get the UCL, CL and LCL of the control chart. However, the parameter "b" of IHLD is estimated by a regression approach as described below.…”
Section: Monitoring Of Time Between Failures With Respect To Ird and Ihldmentioning
confidence: 99%